G. I. Sebe

activity

20132026

most citedA gauss-kuzmin theorem and related questions for

θ

-expansions

18 citations · 30 across the 15 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.DS2026

Hausdorff Dimension of Growth Rate Level Sets in $θ$ -expansions

Andreas Rusu, Gabriela Ileana Sebe

We investigate the Hausdorff dimension of level sets defined by digit growth rates in $θ$ -expansions, a generalization of regular continued fractions. For any $α \geq 0$ , we prove t…

math.NT2026

Sharp Hausdorff Dimension Bounds for Sets with Bounded and Growing Digits in $N$ -expansions

Andreea Catalina Chitu, Gabriela Ileana Sebe, Dan Lascu

We establish sharp bounds for the Hausdorff dimension of sets of irrational numbers in $(0, 1)$ whose digits in the $N$ -expansion are either uniformly bounded or tend to infinity. F…

math.NT2026

Limit Theorems for $θ$ -expansions and the Failure of the Strong Law

Andreas Rusu, Gabriela Ileana Sebe, Dan Lascu

The paper presents fundamental metrical theorems for a class of continued fraction-like expansions known as $θ$ -expansions. We first prove Khinchine's Weak Law of Large Numbers for…

Hausdorff Dimension of Growth Rate Level Sets in θ-expansions

Sharp Hausdorff Dimension Bounds for Sets with Bounded and Growing Digits in N-expansions

Limit Theorems for θ-expansions and the Failure of the Strong Law

Hausdorff Dimension of Growth Rate Level Sets in $θ$ -expansions

Sharp Hausdorff Dimension Bounds for Sets with Bounded and Growing Digits in $N$ -expansions

Limit Theorems for $θ$ -expansions and the Failure of the Strong Law